To solve the problem of finding the momentum of a 50 kg ball rolling down the street at 5 m/s, you can follow these steps:
1. Understand the Concept of Momentum:
Momentum is a measure of the motion of an object and is calculated by multiplying the object's mass by its velocity. The formula for momentum (p) is:
[tex]\[
p = m \times v
\][/tex]
where [tex]\( m \)[/tex] is the mass in kilograms (kg) and [tex]\( v \)[/tex] is the velocity in meters per second (m/s).
2. Identify the Given Values:
- Mass ([tex]\( m \)[/tex]) of the ball = 50 kg
- Velocity ([tex]\( v \)[/tex]) of the ball = 5 m/s
3. Substitute the Given Values into the Formula:
Substitute the mass and velocity into the momentum formula to calculate the momentum.
[tex]\[
p = 50 \, \text{kg} \times 5 \, \text{m/s}
\][/tex]
4. Perform the Multiplication:
Multiply the mass by the velocity.
[tex]\[
p = 50 \times 5 = 250 \, \text{kg} \cdot \text{m/s}
\][/tex]
5. Select the Correct Option:
From the provided choices:
- A) 55 kgm/s
- B) 100 kgm/s
- C) 250 kgm/s
- D) 500 kgm/s
The calculated momentum (250 kgm/s) matches option C.
Therefore, the momentum of the ball is [tex]\( 250 \, \text{kg} \cdot \text{m/s} \)[/tex], so the correct answer is:
C) 250 kgm/s
